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Analytic Discs Attached to Half Spaces of $\Bbb C^n$ and Extension of Holomorphic Functions
http://hdl.handle.net/2261/1181
http://hdl.handle.net/2261/1181c7fff887-8164-4979-b7c4-c3869e748f9c
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms080207.pdf (120.6 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | Analytic Discs Attached to Half Spaces of $\Bbb C^n$ and Extension of Holomorphic Functions | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | analytic discs | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | holomorphic functions | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Baracco, Luca
× Baracco, Luca× Zampieri, Giuseppe |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Let $M$ be a real hypersurface of $\C^n$, $M^+$ a closed half space with boundary $M$, $z_o$ a point of $M$. We prove that the existence of a disc $A$ tangent to $M$ at $z_o$, attached to $M^+$ but not to $M$ (i.e.$\partial A \subset M^+$ but $\partial A \ ot\subset M$), entails extension of holomorphic functions from the interior of ${M^+}$ to a full neighborhood of $z_o$. This result covers a result in \cite{9}, where the disc $A$ is assumed to lie on one side $M^+$ of $M$. The basic idea, which underlies to the whole paper, is due to A. Tumanov [8] and consists in attaching discs to manifolds with boundary. Further, holomorphic extendability by the aid of tangent discs attached to $M$ and of ""defect 0"" is a particular case of a general theorem of ""wedge extendibility"" of CR--functions by A. Tumanov. |
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| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 8, 号 2, p. 317-327, 発行日 2001 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1837166 | ||||||
| Mathmatical Subject Classification | ||||||
| 58G(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 32F(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2000-07-17 | ||||||
